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On the left, the petals are separate (linked) objects.
On the right, they're joined into one object - but the gradient type changed.
How to keep the same gradient type when I join the petals together into a single object?
(Edited using the provided file)
To keep the gradient when joining the petals, you can use UV coordinates.
Then just project the UV map from top and join.
(To get the same UV map, just select the petal and UV > Project from view)